Question

solve 7x-2y/xy=5 and 8x+7y/xy=5

Answer 1

Hope you find it easy

Answer 2

$\textbf{Answer :}$


$\frac{7x\:-\:2y}{xy}$ = $5$

$7x\:-\:2y\:=\:5xy$ .......(1)

$\frac{8x\:+7y}{xy}$ = $5$

$8x\:+\:7y\:=\:15xy$ ........(2)

Multiply (1) by 7 and (2) by 2

49x - 14y = 35xy ......(3)

16x + 14y = 30xy .......(4)

Solve (3) and (4) by Elimination method.

49x - 14y = 35xy
16x + 14y = 30xy
_____________
65x + 0y = 65xy
_____________

65x = 65xy

y = 1

Put value of y in (1)

7x - 2(1) = 5x (1)

7x - 2 = 5x

7x - 5x = 2

2x = 2

x = 1